Answer:
Given the statement: The quotient of a number x and 4 is atmost 5.
Let x be a number.
"quotient of a number x and 4" represented as 
"at most" means '
'
Therefore, the inequality for the given statement is;

Solve the above inequality:

multiply both sides by 4 we get;

Simplify:

Therefore, the solutions for the given inequality is: ![(-\infty , 20]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%2020%5D)
Answer:
24,748
Step-by-step explanation:
538
<u>x 46</u>
3228
<u>21520</u>
24748
Answer:
y=1/4 x +11
Step-by-step explanation:
So this is a word problem but it isn't too bad to figure what they want: They are looking for a line that is perpendicular to y=-4x-6 and goes through (-4,10).
So we are looking for an equation whose slope is the opposite reciprocal of the given equation's slope.
The given equation has a slope of -4
The opposite reciprocal of -4 is 1/4 so that is the slope of our new line.
So we know our equation is in the form of y=1/4 x+b
Now we are given that this line should go through (-4,10) so plug it in to find b.
10=1/4 * (-4)+b
10=-1+b
11=b
So the equation is y=1/4 x+11
Answer:
hope this helps!
Step-by-step explanation:
From y(t) = −16t^2 − 3t + 300 find at what time the fertilizer hits the ground (has height 0)
0 = −16t^2 − 3t + 300
Using the quadratic formula (minus b plus or minus the square root of b squared minus 2 a c over 2 a) you get
t = 4.237 seconds
So the horizontal distance is 85t = 85 * 4.237 = 360.145 feet
Answer:
n > -6 and n < 8! Heart it if it was helpful :D
Step-by-step explanation:
Okay! So n has to be bigger than -6, but smaller than 8. So the inequalities are n > -6 and n < 8!